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Finding the Fourth Proportional to 71,167.86, 106,665.84 and 26,152.92

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Solution

The fourth proportional to 71,167.86, 106,665.84 and 26,152.92 is: 39,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,167.86 : 106,665.84 = 26,152.92 : x
  2. Step 2: Convert to fraction form
    71,167.86/106,665.84 = 26,152.92/x
  3. Step 3: Cross multiply
    71,167.86x = 106,665.84 × 26,152.92
  4. Step 4: Simplify right side
    71,167.86x = 2,789,623,180.25
  5. Step 5: Solve for x
    x = 2,789,623,180.25/71,167.86
  6. Step 6: Final answer
    x = 39,197.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.